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Rectangular Cyclotomic Expansions of Colored HOMFLY-PT Polynomials

Fang, Honghuai et al.
arXiv (All) · Papers
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05e05geometric-topologyquantum-algebra
We prove the rectangular cyclotomic expansion conjecture of Kameyama, Nawata, Tao, and Zhang for reduced colored HOMFLY-PT polynomials of arbitrary zero-framed knots. We also prove their explicit double-twist formula for every rectangular color and all pairs of nonzero integer twist parameters. For
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